Non-constant stable solutions to Landau-Lifshitz equation

DOI10.1007/S005260050104zbMath0909.35043OpenAlexW1983276538WikidataQ115387778 ScholiaQ115387778MaRDI QIDQ1265708

Jian Zhai

Publication date: 17 March 1999

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050104

zbMATH Keywords

Schauder's fixed point theoremhomotopy classesnon-existencestatic Landau-Lifshitz equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

On the local well-posedness for the nonlinear Schrödinger equation with spatial variable coefficient ⋮ The difference between Schrödinger equation derived from Schrödinger map and Landau-Lifshitz equation ⋮ Limit behavior of solution for multi-dimensional Landau-Lifshitz equations with external magnetic field ⋮ On the anisotropic Landau-Lifshitz equations ⋮ Existence and stability of cylindrical symmetric static solutions to the Landau-Lifshitz equation for multidirectional ferromagnets ⋮ Existence and stability of static solutions of the Landau-Lifshitz equation with multi-direct effective field ⋮ Instability in a geometric parabolic equation on convex domain instability on convex domain.

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